0.72/0.78 MAYBE 0.72/0.78 0.72/0.78 Preprocessing Cost Relations 0.72/0.78 ===================================== 0.72/0.78 0.72/0.78 #### Computed strongly connected components 0.72/0.78 0. recursive : [evalEx5bb1in/7,evalEx5bb2in/7,evalEx5bb3in/7] 0.72/0.78 1. recursive : [evalEx5bb3in_loop_cont/12,evalEx5bb4in/11,evalEx5bb6in/11] 0.72/0.78 2. non_recursive : [evalEx5stop/6] 0.72/0.78 3. non_recursive : [evalEx5returnin/6] 0.72/0.78 4. non_recursive : [exit_location/1] 0.72/0.78 5. non_recursive : [evalEx5bb6in_loop_cont/7] 0.72/0.78 6. non_recursive : [evalEx5entryin/6] 0.72/0.78 7. non_recursive : [evalEx5start/6] 0.72/0.78 0.72/0.78 #### Obtained direct recursion through partial evaluation 0.72/0.78 0. SCC is partially evaluated into evalEx5bb3in/7 0.72/0.78 1. SCC is partially evaluated into evalEx5bb6in/11 0.72/0.78 2. SCC is completely evaluated into other SCCs 0.72/0.78 3. SCC is completely evaluated into other SCCs 0.72/0.78 4. SCC is completely evaluated into other SCCs 0.72/0.78 5. SCC is partially evaluated into evalEx5bb6in_loop_cont/7 0.72/0.78 6. SCC is partially evaluated into evalEx5entryin/6 0.72/0.78 7. SCC is partially evaluated into evalEx5start/6 0.72/0.78 0.72/0.78 Control-Flow Refinement of Cost Relations 0.72/0.78 ===================================== 0.72/0.78 0.72/0.78 ### Specialization of cost equations evalEx5bb3in/7 0.72/0.78 * CE 14 is refined into CE [15] 0.72/0.78 * CE 13 is refined into CE [16] 0.72/0.78 * CE 11 is refined into CE [17] 0.72/0.78 * CE 12 is refined into CE [18] 0.72/0.78 0.72/0.78 0.72/0.78 ### Cost equations --> "Loop" of evalEx5bb3in/7 0.72/0.78 * CEs [17] --> Loop 15 0.72/0.78 * CEs [18] --> Loop 16 0.72/0.78 * CEs [15] --> Loop 17 0.72/0.78 * CEs [16] --> Loop 18 0.72/0.78 0.72/0.78 ### Ranking functions of CR evalEx5bb3in(C,D,E,G,H,I,J) 0.72/0.78 0.72/0.78 #### Partial ranking functions of CR evalEx5bb3in(C,D,E,G,H,I,J) 0.72/0.78 0.72/0.78 0.72/0.78 ### Specialization of cost equations evalEx5bb6in/11 0.72/0.78 * CE 7 is refined into CE [19] 0.72/0.78 * CE 6 is refined into CE [20,21] 0.72/0.78 * CE 8 is refined into CE [22] 0.72/0.78 * CE 3 is refined into CE [23,24] 0.72/0.78 * CE 4 is refined into CE [25] 0.72/0.78 * CE 5 is refined into CE [26,27,28] 0.72/0.78 0.72/0.78 0.72/0.78 ### Cost equations --> "Loop" of evalEx5bb6in/11 0.72/0.78 * CEs [24] --> Loop 19 0.72/0.78 * CEs [25] --> Loop 20 0.72/0.78 * CEs [28] --> Loop 21 0.72/0.78 * CEs [23] --> Loop 22 0.72/0.78 * CEs [27] --> Loop 23 0.72/0.78 * CEs [26] --> Loop 24 0.72/0.78 * CEs [19] --> Loop 25 0.72/0.78 * CEs [20] --> Loop 26 0.72/0.78 * CEs [22] --> Loop 27 0.72/0.78 * CEs [21] --> Loop 28 0.72/0.78 0.72/0.78 ### Ranking functions of CR evalEx5bb6in(A,B,C,D,E,G,H,I,J,K,L) 0.72/0.78 0.72/0.78 #### Partial ranking functions of CR evalEx5bb6in(A,B,C,D,E,G,H,I,J,K,L) 0.72/0.78 * Partial RF of phase [19,20,21,22,23,24]: 0.72/0.78 - RF of loop [22:1]: 0.72/0.78 B depends on loops [19:1,20:1,21:1] 0.72/0.78 - RF of loop [22:1,23:1,24:1]: 0.72/0.78 -A+B depends on loops [19:1,20:1,21:1] 0.72/0.78 0.72/0.78 0.72/0.78 ### Specialization of cost equations evalEx5bb6in_loop_cont/7 0.72/0.78 * CE 9 is refined into CE [29] 0.72/0.78 * CE 10 is refined into CE [30] 0.72/0.78 0.72/0.78 0.72/0.78 ### Cost equations --> "Loop" of evalEx5bb6in_loop_cont/7 0.72/0.78 * CEs [29] --> Loop 29 0.72/0.78 * CEs [30] --> Loop 30 0.72/0.78 0.72/0.78 ### Ranking functions of CR evalEx5bb6in_loop_cont(A,B,C,D,E,F,G) 0.72/0.78 0.72/0.78 #### Partial ranking functions of CR evalEx5bb6in_loop_cont(A,B,C,D,E,F,G) 0.72/0.78 0.72/0.78 0.72/0.78 ### Specialization of cost equations evalEx5entryin/6 0.72/0.78 * CE 2 is refined into CE [31,32,33,34,35,36,37] 0.72/0.78 0.72/0.78 0.72/0.78 ### Cost equations --> "Loop" of evalEx5entryin/6 0.72/0.78 * CEs [35,36,37] --> Loop 31 0.72/0.78 * CEs [32,34] --> Loop 32 0.72/0.78 * CEs [33] --> Loop 33 0.72/0.78 * CEs [31] --> Loop 34 0.72/0.78 0.72/0.78 ### Ranking functions of CR evalEx5entryin(A,B,C,D,E,G) 0.72/0.78 0.72/0.78 #### Partial ranking functions of CR evalEx5entryin(A,B,C,D,E,G) 0.72/0.78 0.72/0.78 0.72/0.78 ### Specialization of cost equations evalEx5start/6 0.72/0.78 * CE 1 is refined into CE [38,39,40,41] 0.72/0.78 0.72/0.78 0.72/0.78 ### Cost equations --> "Loop" of evalEx5start/6 0.72/0.78 * CEs [41] --> Loop 35 0.72/0.78 * CEs [40] --> Loop 36 0.72/0.78 * CEs [39] --> Loop 37 0.72/0.78 * CEs [38] --> Loop 38 0.72/0.78 0.72/0.78 ### Ranking functions of CR evalEx5start(A,B,C,D,E,G) 0.72/0.78 0.72/0.78 #### Partial ranking functions of CR evalEx5start(A,B,C,D,E,G) 0.72/0.78 0.72/0.78 0.72/0.78 Computing Bounds 0.72/0.78 ===================================== 0.72/0.78 0.72/0.78 #### Cost of chains of evalEx5bb3in(C,D,E,G,H,I,J): 0.72/0.78 * Chain [[15,16]]...: 2*it(15)+0 0.72/0.78 with precondition: [1>=C,C>=0,G>=2,3>=G] 0.72/0.78 0.72/0.78 * Chain [[15,16],18]: 2*it(15)+0 0.72/0.78 with precondition: [G=2,1>=H,C>=0,H>=C,C+D>=H+I] 0.72/0.78 0.72/0.78 * Chain [[15,16],17]: 2*it(15)+0 0.72/0.78 with precondition: [G=3,1>=C,C>=0] 0.72/0.78 0.72/0.78 * Chain [18]: 0 0.72/0.78 with precondition: [G=2,I=D,J=E,C=H,1>=C,C>=0] 0.72/0.78 0.72/0.78 * Chain [17]: 0 0.72/0.78 with precondition: [G=3,1>=C,C>=0] 0.72/0.78 0.72/0.78 0.72/0.78 #### Cost of chains of evalEx5bb6in(A,B,C,D,E,G,H,I,J,K,L): 0.72/0.78 * Chain [[19,20,21,22,23,24]]...: 16*it(19)+0 0.72/0.78 with precondition: [B>=A+1,A>=0] 0.72/0.78 0.72/0.78 * Chain [[19,20,21,22,23,24],28]...: 18*it(19)+0 0.72/0.78 with precondition: [G=3,A>=0,B>=A+1] 0.72/0.78 0.72/0.78 * Chain [[19,20,21,22,23,24],27]: 16*it(19)+0 0.72/0.78 with precondition: [G=3,A>=0,B>=A+1] 0.72/0.78 0.72/0.78 * Chain [[19,20,21,22,23,24],26]: 17*it(19)+0 0.72/0.78 with precondition: [G=3,A>=0,B>=A+1] 0.72/0.78 0.72/0.78 * Chain [[19,20,21,22,23,24],25]: 16*it(19)+0 0.72/0.78 with precondition: [G=4,I=K,A>=0,B>=A+1,H>=A,H>=I] 0.72/0.78 0.72/0.78 * Chain [28]...: 2*s(17)+0 0.72/0.78 with precondition: [G=3,A>=0,B>=A+1] 0.72/0.78 0.72/0.78 * Chain [27]: 0 0.72/0.78 with precondition: [G=3,A>=0] 0.72/0.78 0.72/0.78 * Chain [26]: 1*s(18)+0 0.72/0.78 with precondition: [G=3,A>=0,B>=A+1] 0.72/0.78 0.72/0.78 * Chain [25]: 0 0.72/0.78 with precondition: [G=4,J=C,K=D,L=E,A=H,B=I,A>=0,A>=B] 0.72/0.78 0.72/0.78 0.72/0.78 #### Cost of chains of evalEx5bb6in_loop_cont(A,B,C,D,E,F,G): 0.72/0.78 * Chain [30]: 0 0.72/0.78 with precondition: [A=3] 0.72/0.78 0.72/0.78 * Chain [29]: 0 0.72/0.78 with precondition: [A=4] 0.72/0.78 0.72/0.78 0.72/0.78 #### Cost of chains of evalEx5entryin(A,B,C,D,E,G): 0.72/0.78 * Chain [34]: 0 0.72/0.78 with precondition: [] 0.72/0.78 0.72/0.78 * Chain [33]: 0 0.72/0.78 with precondition: [0>=A] 0.72/0.78 0.72/0.78 * Chain [32]: 1*aux(44)+0 0.72/0.78 with precondition: [A>=1] 0.72/0.78 0.72/0.78 * Chain [31]...: 1*aux(45)+0 0.72/0.78 with precondition: [A>=1] 0.72/0.78 0.72/0.78 0.72/0.78 #### Cost of chains of evalEx5start(A,B,C,D,E,G): 0.72/0.78 * Chain [38]: 0 0.72/0.78 with precondition: [] 0.72/0.78 0.72/0.78 * Chain [37]: 0 0.72/0.78 with precondition: [0>=A] 0.72/0.78 0.72/0.78 * Chain [36]: 1*s(29)+0 0.72/0.78 with precondition: [A>=1] 0.72/0.78 0.72/0.78 * Chain [35]...: 1*s(30)+0 0.72/0.78 with precondition: [A>=1] 0.72/0.78 0.72/0.78 0.72/0.78 Closed-form bounds of evalEx5start(A,B,C,D,E,G): 0.72/0.78 ------------------------------------- 0.72/0.78 * Chain [38] with precondition: [] 0.72/0.78 - Upper bound: 0 0.72/0.78 - Complexity: constant 0.72/0.78 * Chain [37] with precondition: [0>=A] 0.72/0.78 - Upper bound: 0 0.72/0.78 - Complexity: constant 0.72/0.78 * Chain [36] with precondition: [A>=1] 0.72/0.78 - Upper bound: inf 0.72/0.78 - Complexity: infinity 0.72/0.78 * Chain [35]... with precondition: [A>=1] 0.72/0.78 - Upper bound: inf 0.72/0.78 - Complexity: infinity 0.72/0.78 0.72/0.78 ### Maximum cost of evalEx5start(A,B,C,D,E,G): inf 0.72/0.78 Asymptotic class: infinity 0.72/0.78 * Total analysis performed in 636 ms. 0.72/0.78 0.78/0.88 EOF